TWO NEW MODIFIED EXTRAGRADIENT-TYPE METHODS FOR SOLVING VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS
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作者:
Wang, Wanyu
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机构:
Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China
Chengdu Normal Univ, Dept Math, Chengdu 611130, Sichuan, Peoples R ChinaSichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China
Wang, Wanyu
[1
,2
]
Xia, Fuquan
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机构:
Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R ChinaSichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China
Xia, Fuquan
[1
]
Liu, Yuncheng
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机构:
Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R ChinaSichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China
Liu, Yuncheng
[1
]
机构:
[1] Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China
[2] Chengdu Normal Univ, Dept Math, Chengdu 611130, Sichuan, Peoples R China
In this paper, we propose two new modified extragradient-type methods for finding a common element of fixed points set of a nonexpansive mapping and the solutions set of a variational inequality problem in Hilbert space. In our methods, on every iteration, we use only two projections onto some simple closed convex set C. Under the assumptions that the mapping in variational inequality problem is continuous(not necessary Lipschitz continuous) and monotone, we prove strong convergence theorems of the proposed algorithms. Preliminary computational experience is also reported.
机构:
Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, VietnamTon Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam
Duong Viet Thong
;
Dang Van Hieu
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机构:
Coll Air Force, Dept Math, Nhatrang City, VietnamTon Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam
机构:
Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, VietnamTon Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam
Duong Viet Thong
;
Dang Van Hieu
论文数: 0引用数: 0
h-index: 0
机构:
Coll Air Force, Dept Math, Nhatrang City, VietnamTon Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam